Condition numbers and scale free graphs

Details Condition numbers and scale free graphs Condition numbers and scale free graphs

2006-02-10

arxiv.org/abs/cond-mat/0602276v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

Submitted to EPJ

Scientific paper

10.1140/epjb/e2006-00377-4

In this work we study the condition number of the least square matrix corresponding to scale free networks. We compute a theoretical lower bound of the condition number which proves that they are ill conditioned. Also, we analyze several matrices from networks generated with the linear preferential attachment model showing that it is very difficult to compute the power law exponent by the least square method due to the severe lost of accuracy expected from the corresponding condition numbers.

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